Least Common Multiple of 46/40, 490/13, 999/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/40, 490/13, 999/389 quickly i.e. 11258730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/40, 490/13, 999/389 is 11258730.

LCM(46/40, 490/13, 999/389) = 11258730

LCM of 46/40, 490/13, 999/389

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 46/40,490/13,999/389

Given numbers are 46/40,490/13,999/389

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 46,490,999

Least Common Multiple of Numerators i.e. LCM of 46,490,999 is 11258730.

GCF of Denominators means GCF of 40,13,389 as per the given fractions.

GCF of 40,13,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,490,999

LCM of Fractions 46/40,490/13,999/389 is 11258730

2 46, 490, 999
23, 245, 999

∴ So the LCM of the given numbers is 2 x 23 x 245 x 999 = 11258730

Least Common Multiple of 46,490,999 with GCF Formula

Least Common Multiple of 46,490,999 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,490,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,490,999) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,490,999) x common factors =1 x 2 = 2

LCM(46,490,999) = ( 46 × 490 × 999 ) / 2

LCM(46,490,999) = 22517460 / 2

LCM(46,490,999) = 11258730


Lets's calculate GCF of 40,13,389

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11258730/1

Therefore the LCM of Fractions 46/40,490/13,999/389 is 11258730

Greatest Common Factor of 40,13,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,13,389 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 40,13,389 . The biggest common factor number is the GCF number.
So the greatest common factor 40,13,389 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 46/40, 490/13, 999/389

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 46/40, 490/13, 999/389?

Answer: LCM of Numerators as per given numbers 46/40, 490/13, 999/389 is

LCM of Numerators i.e. for 46,490,999 is 11258730

GCF of denominators i.e. for 40,13,389 is 1.

Thus, LCM of Fractions is 11258730.Finally, LCM of Fractions for 46/40, 490/13, 999/389 is 11258730.